On lp-Valued Functions for Henstock-Kurzweil-Stieltjes-◊-Double Integrals on Time Scales
), Adesanmi Alao Mogbademu(2), Bosede Opeyemi Fagbemigun(3),
(1) Department of Mathematical Sciences, Faculty of Natural Sciences, Ajayi Crowther University, Oyo, Nigeria
(2) Department of Mathematics, University of Lagos, Lagos, Nigeria
(3) Department of Mathematical Sciences, Faculty of Natural Sciences, Ajayi Crowther University, Oyo, Nigeria
Corresponding Author
Abstract
We define Henstock-Kurzweil-Stieltjes--double integral for -valued functions on time scales. Furthermore, some of the basic properties of this integral with values ranging in an -space for are proved and discussed. Our first theorem guarantees the uniqueness of Henstock-Kurzweil-Stieltjes--double integral of an -valued functions. The Henstock-Kurzweil-Stieltjes--double integrals generalizes the Henstock integral for -valued functions in literature.
Keywords
Double integral, Henstock-Kurzweil integral, l_p-space, Time scales
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